Question

Two parallel rail tracks run north-south. Train A with a speed of 54k/hand B with speed of 90kmh. What is the relative velocity in ms of B with respect to A?

Answer 1

To find the relative velocity of Train B with respect to Train A, we need to consider their velocities as vectors and subtract them.

Given: Speed of Train A (vA) = 54 km/h Speed of Train B (vB) = 90 km/h

First, we convert the speeds from km/h to m/s: vA = 54 km/h * (1000 m/1 km) * (1/3600 h/1 s) ≈ 15 m/s vB = 90 km/h * (1000 m/1 km) * (1/3600 h/1 s) ≈ 25 m/s

Now, to find the relative velocity of B with respect to A, we subtract the velocity of A from the velocity of B: vRelative = vB - vA vRelative = 25 m/s - 15 m/s vRelative = 10 m/s

Therefore, the relative velocity of Train B with respect to Train A is 10 m/s.